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3 years ago

1. What is the most precise name for quadrilateral ABCD with vertices A(-2,4), B(5,6), C(12,4), and D(5,2)?

Mathematics

2 answers:

zaharov [31]3 years ago

7 0

The first one is B because of the first attachment. The second one is A because of the second attachment. The third one is C because of the expression used to solve for sum of angles:
(n-2)180
(8-2)180
1080
Hope this helps!

lys-0071 [83]3 years ago

5 0

Answer:

1) b

2)a

3)b

Step-by-step explanation:

1)Consider AC and BD. Both have common mid point as (5,4) and (5,4)

Hence diagonals bisect each other. Slope of AC=0 and slope of BD = -4/0

i.e. one is horizontal and other is vertical. Hence diagonals bisect at right angles. So rhombus.

2) ABCD has adjacent sides equal and diagonals bisect each other at right angles.

Slope of AC =1 and BD =-1 that is product =-1. Kites are perpendicular.

So kite

3) Any polygon irrespective of number of sides, the exterior angles will add upto 360 degrees.

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3) An open top box is to be constructed out of a 90 inch by 70 inch piece of cardboard by cutting squares out of the corners and

Elena L [17]

Answer:

a) The volume in cubic inches is 36000

b) The volume in cubic feet is 125/6

c) The volume in cubic yard is 125/162

Step-by-step explanation:

* Lets study the information of the problem to solve it

- The dimensions of the piece of cardboard are 90 inches by 70 inches

- The side of the cutting square is 15 inches

- The squares are cutting from each corner

∴ Each dimension of the cardboard will decrease by 2 × 15 inches

∴ The new dimensions of the piece of cardboard are;

90 - (15 × 2) = 90 - 30 = 60 inches

70 - (2 × 15) = 70 - 30 = 40 inches

- The dimensions of the box will be:

# Length = 60 inches

# width = 40 inches

# height = 15 inches

- The volume of any box with three different dimensions is

V = Length × width × height

∵ The length = 60 inches

∵ The width = 40 inches

∵ The height = 15 inches

∴ V = 60 × 40 × 15 = 36000 inches³

a) The volume in cubic inches is 36000

* Now lets revise how to change from inch to feet

- 1 foot = 12 inches

∵ 1 foot = 12 inches

∴ 1 foot³ = (12)³ inches³

∴ 1 foot³ = 1728 inches³

∵ The volume of the box is 36000 inches³

∴ The volume of the box in cubic feet = 36000 ÷ 1728 = 125/6

b) The volume in cubic feet is 125/6

* Now lets revise how to change from feet to yard

- 1 yard = 3 feet

∵ 1 yard = 3 feet

∴ 1 yard³ = (3)³ feet³

∴ 1 yard³ = 27 feet³

∵ The volume of the box is 125/6 feet³

∴ The volume of the box in cubic yard = 125/6 ÷ 27 = 125/162

c) The volume in cubic yard is 125/162

8 0

3 years ago

Read 2 more answers

As part of a science experiment, Sam recorded the four values shown in the table, but one of them got smudged on his paper. He r

denpristay [2]

Answer:

D) 4

Step-by-step explanation:

−9 + 12 + (unknown) + −8 = −1

Start by going through and testing each option

−9 + 12 + 2 + −8 =

3 + 2 + −8 =

5 + −8 =

−3

−3 ≠ −1

A) 2 is not possible.

−9 + 12 + −2 + −8 =

3 + −2 + −8 =

1 + −8 =

−7

−7 ≠ −1

B) −2 is not possible.

−9 + 12 + −4 + −8 =

3 + −4 + −8 =

−1 + −8 =

−9

−9 ≠ −1

C) −4 is not possible.

From this, D is looking like the answer. But to be sure, test it.

−9 + 12 + 4 + −8 =

3 + 4 + −8 =

7 + −8 =

−1

−1 = −1

D) 4 is the answer.

5 0

3 years ago

A machine that fills 12-quart size packages of ice cream runs 8 hours a day, 7 days a week. The machine fills 900 ice cream pack

otez555 [7]

Answer:

Number of ice cream packaged each week = 604,800 Ice cream

Step-by-step explanation:

Given:

One package = 12 ice cream

Per day packing = 8 hour

Number of days work in a week = 7 days

Per hour packing = 900 package

Find:

Number of ice cream packaged each week :

Computation:

⇒ Number of ice cream packaged each week = Number of days work in a week × Per day packing hour × Per hour packing × Per package ice cream

⇒ Number of ice cream packaged each week = 7 × 8 × 900 × 12

⇒ Number of ice cream packaged each week = 604,800 Ice cream

8 0

3 years ago

Which list shows the integers in order from lest to greatest ? -8 , -5 , 0 , 2 , 6 0 , 2 , -5 , 6 , -8 -5 , -8 , 0 , 2 , 6 0 , -

Elina [12.6K]

Answer:

a.-8,-5,0,2,6

Step-by-step explanation:

We have to find the list which shows the integers in order from least to greatest.

We know that when we left side of zero on a number line then the values decrease and we go right side of zero then the value increases.

a.-8,-5,0,2,6

-8<-5<0<2<6

Hence, it is true.

b.0,2,-5,6,-8

-8 least and 6 is greatest

Therefore, it is false.

c.-5,-8,0,2,6

It is false.

d.0,-8,-5,2,6

It is false.

Option a is true,

7 0

3 years ago

27-2(2w+1)=5w-2(5+w)

astra-53 [7]

27-2(2w+1)=5w-2(5+w)
27-4w-2=5w-10-2w
25-4w=3w-10
25=7w-10
35=7w
5=w
brainliest :)

8 0

3 years ago